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Finding the Fourth Proportional to 49,177.96, 73,720.86 and 17,989

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Solution

The fourth proportional to 49,177.96, 73,720.86 and 17,989 is: 26,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,177.96 : 73,720.86 = 17,989 : x
  2. Step 2: Convert to fraction form
    49,177.96/73,720.86 = 17,989/x
  3. Step 3: Cross multiply
    49,177.96x = 73,720.86 × 17,989
  4. Step 4: Simplify right side
    49,177.96x = 1,326,164,550.54
  5. Step 5: Solve for x
    x = 1,326,164,550.54/49,177.96
  6. Step 6: Final answer
    x = 26,966.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.